Mapping torus

id: mapping-torus-258-9626448
title: Mapping torus
text: In mathematics, the mapping torus in topology of a homeomorphism f of some topological space X to itself is a particular geometric construction with f. Take the cartesian product of X with a closed interval I, and glue the boundary components together by the static homeomorphism: The result is a fiber bundle whose base is a circle and whose fiber is the original space X. If X is a manifold, Mf will be a manifold of dimension one higher, and it is said to "fiber over the circle". As a simple exam
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Mapping_torus
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date modified: 2022-04-30T01:09:07Z
main entity: {"identifier":"Q3532262","url":"https://www.wikidata.org/entity/Q3532262"}
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